2001/10/01 by Andre Wobst, Gert-Ludwig Ingold, Peter Hänggi +1
Physics and Astronomy · #cond-mat.dis-nn
paper · pdf · doi:10.1140/epjb/e20020125
published as Eur. Phys. J. B 27, 11-14 (2002) · 4 pages, 3 figures, RevTeX4
arxiv created 2001/10/01 · arxiv updated 2009/11/30
We introduce phase space concepts to describe quantum states in a disordered system. The merits of an inverse participation ratio defined on the basis of the Husimi function are demonstrated by a numerical study of the Anderson model in one, two, and three dimensions. Contrary to the inverse participation ratios in real and momentum space, the corresponding phase space quantity allows for a distinction between the ballistic, diffusive, and localized regimes on a unique footing and provides valuable insight into the structure of the eigenstates.